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Natalka [10]
3 years ago
14

THE PICTURE IS BELOW DOES ANYBODY KNOW THIS!!

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

So I dont have all the answers but I hope this helps:

a) (5,4) and (6,3)

b) (1,3), (2,4), (5,7), (6,8)

Im stuck in the last question, but I hope this helped you

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With bases V1, V2 , V3 andw1, w2 , W3, suppose T(v1) = w2 and T(v2) = T(v3) = w1 + w3 . T is a linear transformation. Find the m
Roman55 [17]

Answer:

See picture and explanation below.

Step-by-step explanation:

With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.

A is defined as T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)] denotes the vector of coordinates of T(v_i) respect to the basis (we can apply this definition because forms a basis for the domain of T).

The vector of coordinates can be computed in the following way: if T(v_i)=a_1w_1+a_2w_2+a_3w_3 then [T(v_i)]=(a_1,a_2,a_3)^t.

Note that we have all the required information: T(v_1)=0w_1+1\cdot w_2+0w_3 then [T(v_1)]=(0,1,0)^t

T(v_2)=T(v_3)=1\cdot w_1+0w_2+0w_3 hence [T(v_2)]=[T(v_3)]=(1,0,0)^t

The matrix A is on the picture attached, with the multiplication A(1,1,1).

Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:

T(v_1+v_2+v_3)=T(v_1)+T(v_2)+T(v_3)=w_2+w_1+w_1=w_2+2w_1  

In this last case, we can either use the linearity of T or multiply by A.

4 0
3 years ago
Match each equation on the left to the mathematical property it uses on the right
Degger [83]

Answer:

attachment plz

Step-by-step explanation:

nothing is being seen

3 0
2 years ago
Help(Worth 20 Points)
Alik [6]

Answer:

24

Step-by-step explanation:

1.-12

2.-12×2=-24

3.24

4 0
3 years ago
Read 2 more answers
A company sells fruit cups in packs of 4. The packs currently weigh 20 oz. The company plans to reduce the weight of each cup by
skad [1K]

Answer:

4 ( 5 - n )

Step-by-step explanation:

The expression:

20 – 4n

Task:  Rewrite the expression for the new weight as a product of two factors.

To do this we simply have to find the highest common factor (HCF) between 20 and 4n

20 = 4 * 5

4n = 4 * n

The HCF = 4

Expressing as a product of two factors;

4 ( 5 - n )

6 0
2 years ago
What is the answer to 9x=-108
inn [45]

Answer:

x=-12

Step-by-step explanation:

You're trying to solve for x. So, to get x by itself, you need to divide by 9 on both sides and when you divide -108 by 9, you end up with x equaling -12.

-108/9=-12

x=-12

4 0
2 years ago
Read 2 more answers
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